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- W4301671132 abstract "It is a folk conjecture that for alpha > 1/2 there is no alpha-Hoelder surface in the subRiemannian Heisenberg group. Namely, it is expected that there is no embedding from an open subset of R^2 into the Heisenberg group that is Hoelder continuous of order strictly greater than 1/2. The Heisenberg group here is equipped with its Carnot-Caratheodory distance. We show that, in the case that such a surface exists, it cannot be of essential bounded variation and it intersects some vertical line in at least a topological Cantor set." @default.
- W4301671132 created "2022-10-05" @default.
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- W4301671132 date "2012-05-01" @default.
- W4301671132 modified "2023-09-25" @default.
- W4301671132 title "Some properties of Holder surfaces in the Heisenberg group" @default.
- W4301671132 doi "https://doi.org/10.48550/arxiv.1205.0228" @default.
- W4301671132 hasPublicationYear "2012" @default.
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